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Finding the Third Proportional to 3,140.02 and 5,332.71

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Solution

The third proportional to 3,140.02 and 5,332.71 is: 9,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.02 : 5,332.71 = 5,332.71 : x
  2. Step 2: Convert to fraction form
    3,140.02/5,332.71 = 5,332.71/x
  3. Step 3: Cross multiply
    3,140.02x = 5,332.71 × 5,332.71
  4. Step 4: Simplify right side
    3,140.02x = 28,437,805.94
  5. Step 5: Solve for x
    x = 28,437,805.94/3,140.02
  6. Step 6: Final answer
    x = 9,056.58

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.